Spring 18
MATH 105
REVIEW FOR FIRST EXAM
The following are examples of some of the types of problems you could expect on the First Exam.
Do not expect the problems on the exam to be precisely the same as those below.
This document is merely an indication of typical types of questions that
could
appear on the
Exam.
Inverse Functions
1.
Let
3
1
( )
2
5
x
f x
x
.
(a)
Find
1
( )
f
x
.
(b)
Use your answer from part (a) to find the range of
f
.
2.
Let
3
( )
2
f x
x
.
(a)
Find
1
( )
f
x
.
(b)
Use your answer from part (a) to find the range of
f
.
3.
Let
2
2
5
( )
7
x
f x
x
where
0
x
.
(a)
Find
1
( )
f
x
.
(b)
Use your answer from part (a) to find the range of
f
.
4.
Let
2
( )
3
f x
x
where
0
x
.
(a)
Find
1
( )
f
x
.
(b)
Use your answer from part (a) to find the range of
f
.

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